A pin-connected structure is supported and loaded as shown below. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. A concentrated load of P= 25 kips acts on the structure at D. Determine: (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point D on the rigid bar

A pin-connected structure is supported and loaded as shown below. Member ABCD is rigid and is horizontal before the load P is applied. Bars (1) and (2) are both made from steel [E = 30,000 ksi] and both have a cross-sectional area of 1.25 in.2. A concentrated load of P= 25 kips acts on the structure at D. Determine: (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point D on the rigid bar

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Part 2,3,4
0.13
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A₁ = 350 mm² and a length of L₁ = 2.1 m. Rod (2) has an area of A₂ = 375 mm² and a length of L₂ = 1.5 m. Assume dimensions of a = 3.2 m, b = 1.1 m, and c = 1.4 m. After a load of P = 130 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) a L2 Rigid bar L₁ Answer: (a) σ₁ = i 02= i (b) VD= i (1) B MPa MPa mm -X,U b C ↓ С D P
A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A= 2.9 in.2. Assume a = 3.50 ft and b=4.20 ft. If the normal stress in each member must not exceed 25 ksi, determine the maximum load Pmax that may be supported by the structure. D Answer: Pmax= i b B b kips
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional area of A₁ = 630 mm². Bar (2) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₂ = 340 mm². A concentrated load of P = 52 kN acts on the structure at D. Assume L₁=910 mm., L₂=430 mm., a=450 mm., b=280 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a 5 Answers: (a) 6₁ (b) VD= = tel i (1) L₁ L2 B C MPa, 0₂ = mm. i MPa
From the given truss shown, FA = 150, FB = 200, and FC = 250 N. Compute the following. Specify whether the forces in each member are in tension or compression. a. find the reaction at C b. find the force in member AC c. find the force in member CD d. find the force in member AD
A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 2.3 in.2. Assume a = 4.25 ft and b = 5.10 ft. If the normal stress in each member must not exceed 55 ksi, determine the maximum load Pmax that may be supported by the structure. D Answer: Pmax= i b E b kips P
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 410 mm2 and a length of L1 = 3.2 m. Rod (2) has an area of A2 = 355 mm2 and a length of L2 = 1.3 m. Assume dimensions of a = 3.4 m, b = 1.2 m, and c = 1.5 m. After a load of P = 50 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) L2 a B C D x,u Rigid bar |(1) Answer: (a) o1 = i MPa 02 = i MPa (b) VD = i mm
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 109 GPa] with a cross-sectional area of A₁ = 530 mm². Bar (2) is an aluminum alloy [E = 64 GPa] with a cross-sectional area of A2 = 330 mm². A concentrated load of P = 67 kN acts on the structure at D. Assume L₁=740 mm., L₂=500 mm., a=660 mm., b=310 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection VD of point D on the rigid bar.
A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 3.7 in.². Assume a = 4.75 ft and b = 5.70 ft. If the normal stress in each member must not exceed 60 ksi, determine the maximum load Pmax that may be supported by the structure. a D Answer: Pmax = i b B E b kips P
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 116 GPa] with a cross-sectional area of A₁ = 550 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A₂ = 290 mm². A concentrated load of P = 62 kN acts on the structure at D. Assume L₁=800 mm., L2=560 mm., a-590 mm., b=430 mm., and c=1160 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a b Answers: (a) σ₁ = (b) VD = i (1) L₁ L2 (2) A B MPa, 0₂ = mm. D MPa
A truss system is supported by two pins at the top. Determine the absolute value of the axial stress in member AC (in MPa) if the diameter of the member is 30 mm.